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Pseudoalgebra
#4
So originally i tried to work from " the inside " like but from " the outside " like we got already the following result.

( i Will omit x sometimes , since it Goes to oo )

For




Now z > 1 must be true.



Simplify



Since z > 1 and we get



and

.

--

Notice for integer n > 0 we get by the above and induction

~~

I assume it holds for n = 0 , that would imply that powers dominate bases for subexponential tetration.

In other words

Conjecture for p > 1 :



--

However we need much better understanding and approximations.

We are not close to answering

semiexp_q * semiexp_s ~ semiexp_d ^ R

For a given pair (q,s) and a desired best fit (d,R).

I considered the base change but without succes. The approximation slog - slog_b ~~ constant is insufficient.

See also

http://math.stackexchange.com/questions/...ase-a-e1-e

Although that might be hard to read.


Regards

Tommy1729
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Messages In This Thread
Pseudoalgebra - by tommy1729 - 10/05/2016, 12:21 PM
RE: Pseudoalgebra - by tommy1729 - 10/08/2016, 12:22 PM
RE: Pseudoalgebra - by tommy1729 - 10/13/2016, 02:32 AM
RE: Pseudoalgebra - by tommy1729 - 10/19/2016, 08:47 AM
RE: Pseudoalgebra - by sheldonison - 10/23/2016, 09:17 PM



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